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Finding the Fourth Proportional to 25,323.48, 37,970.64 and 7,788.60

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Solution

The fourth proportional to 25,323.48, 37,970.64 and 7,788.60 is: 11,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,323.48 : 37,970.64 = 7,788.60 : x
  2. Step 2: Convert to fraction form
    25,323.48/37,970.64 = 7,788.60/x
  3. Step 3: Cross multiply
    25,323.48x = 37,970.64 × 7,788.60
  4. Step 4: Simplify right side
    25,323.48x = 295,738,126.70
  5. Step 5: Solve for x
    x = 295,738,126.70/25,323.48
  6. Step 6: Final answer
    x = 11,678.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.